Numerical Methods for Nonlinear Elliptic Differential Equations: A Synopsis

I: ANALYTICAL RESULTS 1. From Linear to Nonlinear Equations, Fundamental Results 2. Analysis for Linear and Nonlinear Elliptic Problems II: NUMERICAL METHODS 3. A General Discretization Theory 4. Finite Element Methods 5. Nonconforming Finite Element Methods 6. Adaptive Finite Element Methods 7. Discontinuous Galerkin Methods (DCGMs) 8. Finite Difference Methods 9. Variational Methods for Wavelets